Periodic table

Task

Display the row and column in the periodic table of the given atomic number.

The periodic table

Let us consider the following periodic table representation.

     __________________________________________________________________________ 
    |   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  16  17  18 |
    |                                                                          |
    |1  H                                                                   He |
    |                                                                          |
    |2  Li  Be                                          B   C   N   O   F   Ne |
    |                                                                          |
    |3  Na  Mg                                          Al  Si  P   S   Cl  Ar |
    |                                                                          |
    |4  K   Ca  Sc  Ti  V   Cr  Mn  Fe  Co  Ni  Cu  Zn  Ga  Ge  As  Se  Br  Kr |
    |                                                                          |
    |5  Rb  Sr  Y   Zr  Nb  Mo  Tc  Ru  Rh  Pd  Ag  Cd  In  Sn  Sb  Te  I   Xe |
    |                                                                          |
    |6  Cs  Ba  *   Hf  Ta  W   Re  Os  Ir  Pt  Au  Hg  Tl  Pb  Bi  Po  At  Rn |
    |                                                                          |
    |7  Fr  Ra  °   Rf  Db  Sg  Bh  Hs  Mt  Ds  Rg  Cn  Nh  Fl  Mc  Lv  Ts  Og |
    |__________________________________________________________________________|
    |                                                                          |
    |                                                                          |
    |8  Lantanoidi* La  Ce  Pr  Nd  Pm  Sm  Eu  Gd  Tb  Dy  Ho  Er  Tm  Yb  Lu |
    |                                                                          |
    |9   Aktinoidi° Ak  Th  Pa  U   Np  Pu  Am  Cm  Bk  Cf  Es  Fm  Md  No  Lr |
    |__________________________________________________________________________|

Example test cases;

1 -> 1 1
2 -> 1 18
29 -> 4 11
42 -> 5 6
57 -> 8 4
58 -> 8 5
72 -> 6 4
89 -> 9 4

Note that atomic values corresponding to Lantanoidi (57 to 71) and Aktinoidi (89 to 103) are to be mapped in their own rows.

See also

the periodic table
This task was an idea from CompSciFact
The periodic table in ascii that was used as template

Python

A solution trying hard not to encode too much data about the table.

<lang Python> def perta(atomic) -> (int, int):

   NOBLES = 2, 10, 18, 36, 54, 86, 118
   INTERTWINED = 0, 0, 0, 0, 0, 57, 89
   INTERTWINING_SIZE = 14
   LINE_WIDTH = 18

   prev_noble = 0
   for row, noble in enumerate(NOBLES):
       if atomic <= noble:  # we are at the good row. We now need to determine the column
           nb_elem = noble - prev_noble  # number of elements on that row
           rank =  atomic - prev_noble  # rank of the input element among elements
           if INTERTWINED[row] and INTERTWINED[row] <= atomic <= INTERTWINED[row] + INTERTWINING_SIZE:  # lantanides or actinides
               row += 2
               col = rank + 1
           else:  # not a lantanide nor actinide
               # handle empty spaces between 1-2, 4-5 and 12-13.
               nb_empty = LINE_WIDTH - nb_elem  # spaces count as columns
               inside_left_element_rank = 2 if noble > 2 else 1
               col = rank + (nb_empty if rank > inside_left_element_rank else 0)
           break
       prev_noble = noble
   return row+1, col

small test suite

TESTS = {

   1: (1, 1),
   2: (1, 18),
   29: (4,11),
   42: (5, 6),
   58: (8, 5),
   59: (8, 6),
   57: (8, 4),
   71: (8, 18),
   72: (6, 4),
   89: (9, 4),
   90: (9, 5),
   103: (9, 18),

}

for input, out in TESTS.items():

   found = perta(input)
   print('TEST:{:3d} -> '.format(input) + str(found) + (f' ; ERROR: expected {out}' if found != out else ))

</lang>